Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized for You
we will pick new questions that match your level based on your Timer History
Track Your Progress
every week, we’ll send you an estimated GMAT score based on your performance
Practice Pays
we will pick new questions that match your level based on your Timer History
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:
Join us for a GMAT Marathon on May the 4th, where the power of your preparation will be as strong as the Force! Just like Jedi Masters hone their skills, we'll be sharpening our minds for the GMAT challenges ahead.
We know Strengthen and Weaken questions account for more than 50% of the CR questions on the GMAT. With CR becoming even more important on GMAT Focus, it's time you strengthen your weaknesses with an approach that improves your solving time and accuracy!
Ready to ace the GMAT and unlock your dream MBA program? Look no further! In this comprehensive video, we cover everything you need to know – from mindset shifts to powerful strategies and a step-by-step monthly plan.
With brand new features like:AI-driven Planner tool, 850+ data Insights practice questions and GMAT Focus Edition Adaptive mock tests with ESR+ analysis and personal mentor support, our course is the most comprehensive course for GMAT Focus Edition.
Join us for an exclusive live interview with Piyush, who achieved an impressive GMAT FE 735, securing the coveted 100th percentile! Gain invaluable insights and actionable tips to elevate your own GMAT performance. Don’t miss out!
Re: The number of ways in which 8 different flowers can be seated to form
[#permalink]
27 Jan 2010, 04:38
5
Kudos
3
Bookmarks
Expert Reply
samrus98 wrote:
I feel 4! * 4! is not the final answer to this question. This number should be divided by 2 because a single garland when turned around gives us a different arrangement, but its still the same garland.
Answer: 4! * 4!/2 = 288 B
This is a good point.
There are two cases of circular-permutations:
1. If clockwise and anti clock-wise orders are different, then total number of circular-permutations is given by \((n-1)!\).
2. If clock-wise and anti-clock-wise orders are taken as not different, then total number of circular-permutations is given by \(\frac{(n-1)!}{2!}\).
Specific garland (as I understand) when turned around has different arrangement, but its still the same garland as Samrus pointed out. So clock-wise and anti-clock-wise orders are taken as not different.
Hence we'll have the case 2: \(\frac{(5-1)!*4!}{2}=288\)
Re: The number of ways in which 8 different flowers can be seated to form
[#permalink]
05 Jan 2008, 09:00
3
Kudos
1
Bookmarks
Expert Reply
A
1. We have 5 different things: the group of 4 flowers and 4 separate flowers. 5P5=5! 2. to arrange the group of 4 flowers we have 4P4=4! ways. So, 5!*4! 3. circular symmetry means that variants with "circular shift" are the same variant. We can make 5 "circular shifts". Therefore, N=5!*4!/5=4!*4!
Re: The number of ways in which 8 different flowers can be seated to form
[#permalink]
25 Aug 2008, 13:51
1
Kudos
1
Bookmarks
bmwhype2 wrote:
The number of ways in which 8 different flowers can be seated to form a garland so that 4 particular flowers are never separated is: A) 4!4! B) 288 C) 8!/4! D) 5!4! E) 8!4!
[1234]5678
Assume that 1234 are alwasy together So. we can arrange themselves in 4! ways. X5678 Now treat [1234]=X one single group we have 5 flower snad arrange in circular way= (5-1)!
Re: The number of ways in which 8 different flowers can be seated to form
[#permalink]
27 Sep 2009, 21:38
The number of ways in which 8 different flowers can be seated to form a garland so that 4 particular flowers are never separated is: A) 4!4! B) 288 C) 8!/4! D) 5!4! E) 8!4!
Re: The number of ways in which 8 different flowers can be seated to form
[#permalink]
28 Oct 2009, 10:56
3
Kudos
I feel 4! * 4! is not the final answer to this question. This number should be divided by 2 because a single garland when turned around gives us a different arrangement, but its still the same garland.
Re: The number of ways in which 8 different flowers can be seated to form
[#permalink]
27 Jan 2010, 01:00
if 4 flowers must be toghter, we can think that at first we must seat that flowers in 5 seats, in that case ther are 5! cases, but we have 4flowers which in every case of 5! we can arrange its in 4! case, so there are 5!*4! cases Answer is D
Re: The number of ways in which 8 different flowers can be seated to form
[#permalink]
06 Aug 2020, 09:38
Bunuel wrote:
samrus98 wrote:
I feel 4! * 4! is not the final answer to this question. This number should be divided by 2 because a single garland when turned around gives us a different arrangement, but its still the same garland.
Answer: 4! * 4!/2 = 288 B
This is a good point.
There are two cases of circular-permutations:
1. If clockwise and anti clock-wise orders are different, then total number of circular-permutations is given by \((n-1)!\).
2. If clock-wise and anti-clock-wise orders are taken as not different, then total number of circular-permutations is given by \(\frac{(n-1)!}{2!}\).
Specific garland (as I understand) when turned around has different arrangement, but its still the same garland as Samrus pointed out. So clock-wise and anti-clock-wise orders are taken as not different.
Hence we'll have the case 2: \(\frac{(5-1)!*4!}{2}=288\)
Hi, I am new here and do not have much experience with forum discussions and solving GMAT problems as well. But here's my point of view. (I'll appreciate if you tell me why I might be wrong.) I don't think clock-wise and anti-clock-wise arrangements are applicable for garlands. It's decorated with those flowers only on its front side. You don't normally turn it around and hang it backward. So anti-clockwise arrangement should not be even considered. It's similar to arrangements of people sitting around the table. You don't normally think of clock or anti-clockwise arrangements here, cause you can't turn the table around. So I think the OA to the problem is correct. Am I wrong here?
This Question is Locked Due to Poor Quality
Hi there,
The question you've reached has been archived due to not meeting our community quality standards. No more replies are possible here.
Looking for better-quality questions? Check out the 'Similar Questions' block below
for a list of similar but high-quality questions.
Want to join other relevant Problem Solving discussions? Visit our Problem Solving (PS) Forum
for the most recent and top-quality discussions.
Thank you for understanding, and happy exploring!
gmatclubot
Re: The number of ways in which 8 different flowers can be seated to form [#permalink]